SIMULATION OF GENERALIZED NEWTONIAN FLUIDS WITH THE LATTICE BOLTZMANN METHOD

Orestis Malaspinas (), Guy Courbebaisse () and Michel Deville ()
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Orestis Malaspinas: Laboratoire d'Ingénierie Numérique, École Polytechnique de Lausanne, CH-1015 Lausanne, Switzerland
Guy Courbebaisse: CREATIS-LRMN, Université de Lyon, UMR 5220 CNRS, U630 INSERM, Université Claude Bernard Lyon 1, INSA Lyon, 7 Av. Jean Capelle, Bat. B. Pascal, 69621 Villeurbanne, France
Michel Deville: Laboratoire d'Ingénierie Numérique, École Polytechnique de Lausanne, CH-1015 Lausanne, Switzerland

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 12, 1939-1949

Abstract: This paper proposes a study of the computational efficiency of a lattice Boltzmann model (LBM) solver to simulate the behavior of a generalized Newtonian fluid. We present recent progress concerning a 4-1 planar contraction considering a power-law and a Carreau-law model. First we compare the power-law model for a Poiseuille flow with the analytical solution, and show that our model is second-order accurate in space. Then we compare the results obtained with LBM for both laws to those obtained using a commercial finite element solver for the 4-1 plane sharp corner contraction.

Keywords: Lattice Boltzmann method; generalized Newtonian fluids; power-law fluid; Carreau fluid; 4-1 contraction (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011832

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